Free Printable Ch-01 Units & measurements

1.

The numerical value of 1 J in the new system, in which length is measured in 10-meter, mass in 10 kg and time in 1 minute, will be:

a)

36 × 10⁻⁶

b)

36 × 10⁻³

c)

36 × 10⁻²

d)

36 × 10⁻¹

2.

Which one of the following pair of quantities has the same dimensions?

a)

Force and work done

b)

Momentum and impulse

c)

Pressure and

d)

Time period and frequency

3.

The number of significant figures in the measured value 0.0204 is

a)

Five

b)

four

c)

Three

d)

two

4.

How many kg make 1 unified atomic mass unit?

a)

1.66 × 10⁻²⁷ kg

b)

1.66 × 10⁻²⁵ kg

c)

1.66 × 10⁻²³ kg

d)

1.66 × 10⁻²⁹ kg

5.

Which of the following pairs of physical quantities does not have same dimensional formula?

a)

Work and torque

b)

Angular momentum & Planck’s constant

c)

Tension & surface tension

d)

Impulse & linear momentum.

6.

Which of the following measurements is most precise?

a)

5.00mm

b)

5.00cm

c)

5.00m

d)

5.00km.

7.

The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give

a)

2.75 & 2.74

b)

2.74 & 2.73

c)

2.75 & 2.73

d)

2.74 & 2.74

8.

When we change the unit of measurement of a quantity, its numerical value changes. Smaller the unit of measurement smaller is its numerical value.

a)

Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

b)

Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

c)

Assertion is correct but Reason is incorrect.

d)

If both the Assertion and Reason are incorrect.

9.

Assertion: The dimensions of a/b in the equation P= a+t²/bx, where P is pressure, x is distance and t is time, are MT⁻². Reason: By Principle of homogeneity the dimensions of LHS is equal to dimensions of RHS

4 lines

10.

Assertion (A): Force and pressure cannot be added. Reason (R): The dimensions of force and pressure are different.

4 lines

11.

Dimension of kinetic energy is same as that of

a)

acceleration

b)

velocity

c)

work

d)

force

12.

Joule second is the unit of

a)

force

b)

angular momentum

c)

energy

d)

power

13.

Do angstrom and AU stand for the same unit of length?

a)

No

b)

Yes

c)

Only in astronomy

d)

Only in physics

14.

If x=at+bt²+ct³, where x is in the meter unit and t is in second, then what is the unit of c?

a)

m/s³

b)

m/s²

c)

m/s

d)

m

15.

Find the number of significant figures in 0.000164.

a)

one

b)

two

c)

three

d)

four

16.

Assertion: Now a day’s standard meter is defined in terms of wavelength of light. Reason: Light has no relation with length.

a)

(a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

b)

(b) Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.

c)

(c) Assertion is correct but Reason is incorrect.

d)

(d) Assertion is incorrect but Reason is correct.

17.

Assertion: When we change the unit of measurement of a quantity its numerical value change. Reason: Smaller the unit of measurement smaller is its numerical value.

a)

(a) Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

b)

(b) Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

c)

(c) Assertion is correct but Reason is incorrect.

d)

(d) Assertion is incorrect but Reason is correct.

18.

Assertion: Angle and angular displacement are dimensionless quantities. Reason: Angle is equal in arc length divided by radius.

a)

True

b)

False

19.

6.67*10^{-11}Nm^{2}/kg^{2}…………………………..g^{-1}cm^{3}s^{-2}

a)

$6.67*10^{-8}$

b)

$6.67*10^{-10}$

c)

$6.67*10^{-9}$

d)

$6.67*10^{-7}$

20.

The damping force on an oscillator is directly proportional to the velocity. The units of constant proportionality are

a)

kgms-1

b)

kgms-2

c)

kg s-1

d)

kgs

21.

Light year is a unit of

a)

time

b)

distance

c)

sunlight intensity

d)

mass

22.

Which of the following pairs has the same dimensions?

a)

specific heat and latent heat

b)

impulse and momentum

c)

surface tension and force

d)

moment of inertia and torque

23.

What is the number of significant figures in $(3.20 + 4.80) \times 10^5$ ?

a)

2

b)

3

c)

4

d)

5

24.

Which of the following pairs of physical quantities may be represented in the same unit?

a)

Heat and temperature

b)

Temperature and mole

c)

Heat and work

d)

Specific heat and heat

25.

Which of the following is not the name of a physical quantity?

a)

Kilogram

b)

Density

c)

energy

d)

Impulse

26.

Which of the following physical quantity is dimensionless?

a)

angle

b)

specific gravity

c)

strain

d)

all of these

27.

Which of the following is a use of dimensional analysis?

a)

To check the dimensional correctness of an equation

b)

To solve the equation dimensionally

c)

To get the number of dimensional constants

d)

To understand the dimensional equation

28.

The number of significant figures in the measured value 4.700 m is the same as that in the value

a)

4700 m

b)

0.047 m

c)

4070 m

d)

470.0 m

29.

The addition of three masses 1.6 g, 7.32 g and 4.238 g, addressed upto proper decimal places is

a)

13.158 g

b)

13.2 g

c)

13.16 g

d)

13.15 g

30.

If a calculated value 2.7468 g contains only three significant figures, the two insignificant digits in it are

a)

2 and 7

b)

7 and 4

c)

6 and 8

d)

4 and 6

31.

A laser light beamed at the Moon takes 2.56 s to return after reflection at the Moon’s surface. How much is the radius of the lunar orbit around the Earth?

a)

3.84 × 10^8 m

b)

1.28 \times 10^8 m

c)

7.68 × 10^8 m

d)

2.56 × 10^8 m

32.

If P, Q, R are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?

a)

(P-Q)/R

b)

PQ-R

c)

PQ/R

d)

(R+Q)/P

33.

Which of the following are not a unit of time?

a)

Second

b)

Parsec

c)

Year

d)

Light Year

34.

If the unit of force is 100N, unit of length is 10m and unit of time is 100s, what is the unit of mass in this system of units?

a)

1 kg

b)

10 kg

c)

100 kg

d)

0.1 kg

35.

When a planet x is at a distance of 824.7 million kilometers from earth its angular diameter is measured to be 35.72 seconds of arc. Calculate the diameter of planet x.

a)

142,800 km

b)

71,400 km

c)

412,800 km

d)

1,428,000 km

36.

Calculate the time taken by the light to pass through a nucleus of diameter $1.56 \times 10^{-16} m$ .

a)

5.2 × 10^{-25} s

b)

3.1 × 10^-24 s

c)

1.56 × 10^{-16} s

d)

2.0 × 10^{-18} s

37.

One cm on the main scale of vernier callipers is divided into ten equal parts. If 20 divisions of vernier scale coincide with 18 small divisions of the main scale, what will be the least count of callipers?

a)

0.01 cm

b)

0.02 cm

c)

0.05 cm

d)

0.005 cm

38.

The length, breadth and thickness of a metal sheet are 4.234 m, 1.005 m and 2.01 cm respectively. What are the area and volume of the sheet to the correct number of significant figures?

a)

Area = 4.26 m², Volume = 0.0857 m³

b)

Area = 4.257 m², Volume = 0.0852 m³

c)

Area = 4.3 m², Volume = 0.09 m³

d)

Area = 4.2 m², Volume = 0.08 m³

39.

Each side of a cube is measured to be 7.203 m. What are the total surface area and the volume of the cube to appropriate significant figures?

a)

Total surface area: 312.1 m², Volume: 373.7 m³

b)

Total surface area: 374.2 m², Volume: 373.7 m³

c)

Total surface area: 312.1 m², Volume: 374.2 m³

d)

Total surface area: 374.2 m², Volume: 374.2 m³

40.

Which of the following is an example of: (a) a physical quantity which has a unit but no dimensions. (b) a physical quantity which has neither unit nor dimensions. (c) a constant which has unit?

a)

(a) Angle, (b) Pure number, (c) Planck's constant

b)

(a) Mass, (b) Length, (c) Speed of light

c)

(a) Temperature, (b) Time, (c) Gravitational constant

d)

(a) Force, (b) Energy, (c) Avogadro number

41.

A calorie is a unit of heat or energy and it equals 4.2 J where 1 J = 1 kg m² s⁻². Suppose we employ a system of units in which unit of mass is α kg, unit of length is β m, unit of time γ s. What will be magnitude of calorie in terms of this new system?

a)

4.2 × (α β² γ⁻²)

b)

4.2 × (α⁻¹ β² γ⁻²)

c)

4.2 × (α β⁻² γ²)

d)

4.2 × (α β² γ²)

42.

If velocity of light C, Planck’s constant h and gravitational constant G are taken as fundamental quantities, which of the following correctly expresses the dimensions of mass in terms of C, h, and G?

a)

$h^1 C^{-2} G^{-1}$

b)

$h^1 C^1 G^{-1}$

c)

$h^{-1} C^2 G^1$

d)

$h^2 C^{-1} G^{-2}$

43.

If velocity, time and force were chosen as the base quantities, find the dimension of mass.

a)

F V⁻¹ T

b)

F V T⁻¹

c)

F V⁻¹ T⁻¹

d)

F⁻¹ V T

44.

A drop of olive oil of radius 0.25 mm spreads into a circular film of radius 10 cm on the water surface. Estimate the molecular size of the olive oil.

a)

2 × 10⁻⁹ m

b)

2 × 10⁻⁸ m

c)

2 × 10⁻⁷ m

d)

2 × 10⁻⁶ m

45.

The volume of a liquid flowing out per second from a pipe of length ‘l’ and radius ‘r’ is written by a student as V=πr⁴/8ηl.

a)

The formula is correct for volume flow rate in Poiseuille’s law.

b)

The formula is correct for velocity in Bernoulli’s equation.

c)

The formula is correct for pressure difference in a pipe.

d)

The formula is correct for kinetic energy of the liquid.

46.

Check whether the equation P = ηv/r is dimensionally correct or not, where ‘P’ is the pressure difference between two ends of pipe and ‘η’ is coefficient of viscosity of the liquid having dimensional formula [ML⁻¹T⁻¹].

a)

Yes, the equation is dimensionally correct.

b)

No, the equation is not dimensionally correct.

c)

The equation is correct only for gases.

d)

The equation is correct only for solids.

47.

A body of mass ‘m’ hung at one end of the spring executes simple harmonic motion. The force constant of a spring is ‘k’ while its period of vibration is T. By dimensional analysis, which of the following is the correct relation for the time period T?

a)

T = 2π√(m/k)

b)

T = 2πm/k

c)

T = √(k/m)

d)

T = 2πk/m

48.

The current (I) flowing through a conductor depends on: (i) number density of electrons (n) (ii) charge on the electron (e) (iii) area of cross-section (A) of the conductor (iv) the drift velocity (Vd) of the electron. Which of the following is the correct relation for I?

a)

I = n e A Vd

b)

I = n e Vd / A

c)

I = n A / (e Vd)

d)

I = e Vd / (n A)

49.

Which of the following is not the name of derived physical quantity?

a)

Kilogram

b)

Density

c)

Impulse

d)

Energy

50.

The weight of a body is 12g. This statement is not correct because

a)

The correct symbol for the unit of weight has not been used.

b)

The correct symbol for gram is gm.

c)

The weight should be expressed in kg.

d)

Of some reason other than those given above.

51.

If the unit of force and length are doubled, the unit of energy will be

a)

1/2 times

b)

2 times

c)

4 times

d)

1/4 times

52.

The density of a liquid is 13.6 g cm⁻³. Its value in S.I. is

a)

13.6 kgm⁻³

b)

136 kgm⁻³

c)

13600 kgm⁻³

d)

1360 kgm⁻³

53.

A car runs 1200 m in 22.5 sec. The average speed of a car in appropriate significant figures.

a)

53.3 m/s

b)

53.33 m/s

c)

53.333 m/s

d)

None of these

54.

The radius of a uniform wire r = 0.024 cm. Take π = 3.142, then area of cross-section up to appropriate significant figures.

a)

0.001808 cm²

b)

0.0018086 cm²

c)

0.0018 cm²

d)

18.08 cm²

55.

The volume of sphere is 2.42 cm³. The volume of 12 spheres taking into account the significant figures.

a)

29.0 cm³

b)

29.04 cm³

c)

29.1 cm³

d)

29 cm³

56.

The number of significant figures in the measured value 16000 is

a)

Five

b)

Four

c)

Three

d)

Two

57.

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation $f = a m^x k^y$ where a is a dimensionless constant. What are the values of x and y?

a)

x = -1/2, y = 1/2

b)

x = 1, y = -1

c)

x = 1/2, y = -1/2

d)

x = -1, y = 1

58.

All mechanical phenomena deal with definite and measured quantities and so depend on the making of the measurement. The record of a measurement has three things: the dimension of the quantity, the unit which represents the standard quantity and a number which is the ratio of the measured quantity. Which of the technique is not used for measuring time intervals?

a)

Electrical oscillator

b)

Atomic clock

c)

Spring oscillator

d)

Decay of elementary particles.

59.

If the length of a rectangle l = 10.5 cm, breadth b = 2.1 cm and minimum possible measurement by scale is 0.1 cm, then the area is

a)

22.0 cm²

b)

21.0 cm²

c)

22.5 cm²

d)

21.5 cm²

60.

A device which is used for measurement of length to an accuracy of about 10^{-5} m, is

a)

screw gauge

b)

spherometer

c)

vernier calipers

d)

Either (a) or (b)

61.

Which of the technique is not used for measuring time intervals?

a)

Electrical oscillator

b)

Atomic clock

62.

The mean length of an object is 5 cm. Which of the following measurements is most accurate?

a)

4.9 cm

b)

4.805 cm

c)

5.25 cm

d)

5.4 cm

63.

If the length of rectangle l = 10.5 cm, breadth b = 2.1 cm and minimum possible measurement by scale = 0.1 cm, then the area is

a)

22.0 cm²

b)

21.0 cm²

c)

22.5 cm²

d)

21.5 cm²

64.

Age of the universe is about 10¹⁰ yr, whereas the mankind has existed for 10⁶ yr. For how many seconds would the man have existed, if age of universe were 1 day?

a)

9.2 s

b)

10.2 s

c)

8.6 s

d)

10.5 s

65.

The volume of a liquid flowing out per second of a pipe of length l and radius r is written by a student as V=π/8 (Pr⁴/ηl) where p is the pressure difference between the two ends of the pipe and η is the coefficient of viscosity of the liquid. Check whether the equation is dimensionally correct or not.

a)

Yes, the equation is dimensionally correct.

b)

No, the equation is not dimensionally correct.

c)

The equation is correct only for gases.

d)

The equation is correct only for solids.

66.

In two systems of relations among velocity, acceleration, and force are, respectively, v₂=αv₁/β, a₂=αβa₁ and F₂=F₁/αβ. If α and β are constants, then make relations among mass, length, and time in two systems.

a)

m₂=β²m₁/α, l₂=αl₁, t₂=βt₁

b)

m₂=αm₁/β², l₂=βl₁, t₂=αt₁

c)

m₂=αm₁/β, l₂=βl₁, t₂=αt₁

d)

m₂=βm₁/α², l₂=αl₁, t₂=β²t₁

67.

Fill in the blank: The value of the gravitational constant (G) is _______.

a)

$6.67*10^{-8}$

b)

$9.81*10^{-8}$

c)

$3.00*10^8$

d)

$1.60*10^{-19}$

68.

Fill in the blank: The SI unit of mass is _______.

a)

Kg

b)

g

c)

lb

d)

oz

69.

Fill in the blank: The SI unit of force is _______.

a)

$Kg·s^{-1}$

b)

Newton

c)

Joule

d)

Pascal

70.

Fill in the blank: The time taken by the laser beam to reach the Moon is _______.

a)

1.28 s

b)

0.5 s

c)

2.5 s

d)

0.75 s

71.

Fill in the blank: The radius of the lunar orbit (distance between the Earth and the Moon) is _______.

a)

3.84 × 10^8 m or 3.84 × 10^5 km

b)

1.50 \times 10^8 m or 1.50 \times 10^5 km

c)

7.00 \times 10^{7} m or 7.00 \times 10^{4} km

d)

4.00 \times 10^8 m or 4.00 \times 10^5 km

72.

Fill in the blank: The area is _______ m^2 and the volume is _______ m^3.

a)

Area = 8.72 m^2, Volume = 0.0855 m^3

b)

Area = 7.50 m^2, Volume = 0.0950 m^3

c)

Area = 9.00 m^2, Volume = 0.0800 m^3

d)

Area = 8.00 m^2, Volume = 0.0900 m^3

73.

Fill in the blank: The surface area is _______ m^2 and the volume is _______ m^3.

a)

Surface area = 311.3 m^2, Volume = 373.7 m^3

b)

Surface area = 250.0 m^2, Volume = 400.0 m^3

c)

Surface area = 300.0 m^2, Volume = 350.0 m^3

d)

Surface area = 320.0 m^2, Volume = 360.0 m^3

74.

Fill in the blank: The value of Planck's constant is _______.

a)

6.67*10^(-8) (assuming from context, but usually Planck's constant is 6.626 × $10^{-34}$ J·s)

b)

$3.00*10^8$

c)

$1.60*10^{-19}$

d)

9.81

75.

Fill in the blank: The dimensional formula for force is _______.

a)

$[M^1 L^1 T^{(-2)}]$

b)

$[M^1 L^2 T^{(-1)}]$

c)

$M^0 L^1 T^{(-2)}$

d)

$[M^1 L^0 T^{(-2)}]$

76.

Fill in the blank: The dimensional formula for energy is _______.

a)

$M^1 L^2 T^{(-2)}$

b)

$[M^1 L^1 T^{(-2)}]$

c)

$[M^2 L^2 T^{-1}]$

d)

$[M^1 L^2 T^{(-1)}]$

77.

Fill in the blank: The dimensional formula for power is _______.

a)

$[M^1 L^2 T^{(-3)}]$

b)

$[M^1 L^1 T^(-2)]$

c)

$[M^0 L^2 T^{(-2)}]$

d)

$[M^1 L^2 T^(-2)]$

78.

Fill in the blank: The dimensional formula for pressure is _______.

a)

$M^1 L^(-1) T^(-2)$

b)

$[M^1 L^1 T^{(-2)}]$

c)

$M^1 L^{-2} T^{-1}$

d)

$M^0 L^1 T^{(-2)}$

79.

Fill in the blank: The dimensional formula for velocity is _______.

a)

$L^1 T^{-1}$

b)

$M^1 L^1 T^{(-2)}$

c)

$[L^2 T^(-1)]$

d)

$[M^0 L^0 T^0]$

80.

Fill in the blank: The dimensional formula for acceleration is _______.

a)

$L^1 T^{-2}$

b)

$[L^1 T^(-1)]$

c)

$[L^2 T^{-2}]$

d)

$[M^1 L^1 T^{(-2)}]$

81.

Fill in the blank: The dimensional formula for work is _______.

a)

$M^1 L^2 T^{(-2)}$

b)

$[M^1 L^1 T^{(-2)}]$

c)

$[M^0 L^2 T^(-2)]$

d)

$[M^1 L^2 T^{(-1)}]$

82.

Fill in the blank: The dimensional formula for momentum is _______.

a)

$M^1 L^1 T^{-1}$

b)

$M^1 L^2 T^{(-2)}$

c)

$M^0 L^1 T^{(-1)}$

d)

$[M^1 L^0 T^{(-1)}]$

83.

Fill in the blank: The dimensional formula for impulse is _______.

a)

$M^1 L^1 T^{(-1)}$

b)

$M^1 L^2 T^{(-2)}$

c)

$M^0 L^1 T^{(-1)}$

d)

$M^1 L^0 T^{(-2)}$

84.

Fill in the blank: The dimensional formula for frequency is _______.

a)

$T^{-1}$

b)

$[M^1L^1T^(-2)]$

c)

$[L^2T^{-2}]$

d)

$M^0L^0T^0$

85.

Fill in the blank: The dimensional formula for charge is _______.

a)

[I T]

b)

$[M L T^{-2}]$

c)

$[L^2 T^{-1}]$

d)

$M^2 T^2$

86.

Fill in the blank: The dimensional formula for potential difference is _______.

a)

$M^1 L^2 T^{(-3)} I^{(-1)}$

b)

$M^1 L^1 T^{(-2)} I^{(-2)}$

c)

$M^0 L^2 T^{(-2)} I^1$

d)

$M^1 L^2 T^{(-2)} I^{(-1)}$

87.

Fill in the blank: The relation is _____________.

a)

dimensionally correct

b)

mathematically incorrect

c)

physically impossible

d)

experimentally unverified

88.

Fill in the blanks: Write the correct formulae for M₂, T₂, and L₂.

a)

M₂ = M₁ / α²β³, T₂ = αT₁ / β², L₂ = α²L₁ / β³

b)

M₂ = M₁ α²β³, T₂ = T₁ / αβ², L₂ = L₁ / α²β³

c)

M₂ = M₁ / αβ³, T₂ = α²T₁ / β, L₂ = αL₁ / β²

d)

M₂ = M₁ / α²β, T₂ = T₁ / α²β³, L₂ = αL₁ / β

Ch-01 Units & measurements

Total questions: 88

Worksheet time: 1hrs 6mins

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